when vector sum of all forces and all torques is zero.
Consider two equal and opposite forces acting along different lines of the body, which causes the body to rotate, although first condition is fulfilled but body is still moving. Thus, we need another condition for equilibrium that is the second condition of equilibrium.
The equilibrium condition requires the sum of the forces on the body to be zero.
Leakages = Injections
The first condition of equilibrium can be applied on concurrent forces that are equal in magnitude, since these produce translational equilibrium. But if the forces are equal in magnitude but are non concurrent then even first condition of equilibrium is satisfied but torque is produced which does not maintain rotational equilibrium. Hence for complete equilibrium that is, both translational and rotational , both the conditions should be satisfied.
first condition for equilibrium is that the a body is satisfy with first condition if the resultant of all the forces acting on it is zero let n numbers of the forces F1, F2,F3,.........., Fn are acting on a body such that sigmaF=0 a book lying on a table or picture hanging on the wall are at rest and thus satisfy with first condition of equilibrium a paratrooper coming with terminal velocity also satisfies first condition of equilibrium
When a body or a system is in equilibrium, there is no net tendency to change. Everything is equal.
A body is in complete equilibrium when the net force acting on it is zero and the net torque around any point is also zero. This means the body is at rest or moving at a constant velocity with no rotations occurring.
For complete equilibrium of a body, the sum of all forces acting on the body must be zero (ΣF = 0) and the sum of all torques acting on the body about any point must also be zero (Στ = 0). This means that both the translational and rotational aspects of equilibrium are satisfied, ensuring that the body remains stationary and does not rotate.
For two bodies in physical contact to remain in equilibrium, the condition necessary is that the sum of the forces acting on each body must be equal and opposite.
Rest refers to a state of inactivity or lack of motion, while equilibrium is the state of balance in which opposing forces or influences are balanced. Rest is a specific condition where an object is stationary, while equilibrium refers to a broader concept of balance between different factors.
For a body to be in equilibrium, the net force acting on it must be zero, meaning that the forces in all directions are balanced. Additionally, the net torque (or rotational force) acting on the body must also be zero, ensuring that it is not rotating.
The condition necessary for two bodies in physical contact to remain in equilibrium is that the sum of the forces acting on each body must be equal and opposite.